Schedulability Analysis of Global Fixed-Priority or EDF Multiprocessor Scheduling with Symbolic Model-Checking

As Moore's law comes to an end, multi-processor (MP) systems are becoming increasingly important in embedded systems design, hence real-time schedulability analysis for MP systems has become an important research topic. In this paper, we present an exact method for schedulability analysis of global multiprocessor scheduling with either fixed-priority (FP) or earliest-deadline-first (EDF) algorithms using the model-checker NuSMV. Compared to safe but pessimistic schedulability tests based on processor utilization bounds, model-checking can provide an exact answer to the schedulability of a taskset, as well as quantitative information on each task's best-case and worst- case response times.